Question

And check your answers. At the end of the activity, write a brief evaluation of your work.

Answer 1

Answer:

16.5 gallons per minute.

Step-by-step explanation:

The given table is:

$\begin{center}\begin{tabular}{ c c } Time(minutes) & Water(gallons) \\ 1 & 16.50 \\ 1.5 & 24.75 \\ 2 & 33 \\\end{tabular}\end{center}$

We are given this linear function in the form of table.

Let 't' be the time and W(t) be the function with which the gallons of water are changing with time.

We can use slope intercept form to find the equation.

$y=mx+c$

Slope of a function:

$m=\dfrac{y_2-y_1}{x_2-x_1}$

$x_2 = 1.5\\x_1 = 1\\y_2 = 24.75\\y_1 = 16.50$

$m=\dfrac{24.75-16.50}{1.5-1}\\\Rightarrow m =16.5$

This slope is the constant of proportionality.

i.e. the rate at which the number of gallons are changing per minute.

So, the answer is 16.5 gallons per minute.